Weak compactness in 𝐿¹(𝜇,𝑋)-Reference-Cited by-同舟云学术

Weak compactness in 𝐿¹(𝜇,𝑋)

Published:1996 Issue:9 Volume:124 Page:2685-2693
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Díaz Santiago

Abstract

We characterize weak compactness and weak conditional compactness of subsets of L 1 ( μ , X ) L^{1}(\mu ,X) in terms of regular methods of summability. We also study when these results still hold using only convergence in the sense of Cesàro.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-09/S0002-9939-96-03336-9/S0002-9939-96-03336-9.pdf

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